20131422413102 has 128 divisors (see below), whose sum is σ = 42769745141760. Its totient is φ = 6844322136960.

The previous prime is 20131422413077. The next prime is 20131422413171.

It is a happy number.

20131422413102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17197103 + ... + 18330389.

It is an arithmetic number, because the mean of its divisors is an integer number (334138633920).

Almost surely, 2^{20131422413102} is an apocalyptic number.

20131422413102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20131422413102 is an abundant number, since it is smaller than the sum of its proper divisors (22638322728658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20131422413102 is a wasteful number, since it uses less digits than its factorization.

20131422413102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133806.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2013142 and 2413102, that added together give a palindrome (4426244).

The spelling of 20131422413102 in words is "twenty trillion, one hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, one hundred two".